GRADIENT Simple Gradient with Pythagoras Theorem Exam Type

GRADIENT Simple Gradient with Pythagoras Theorem Exam Type Questions

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The Gradient Learning Intention 1. We are learning the term gradient and to calculate simple gradient using a right-angle triangle. Success Criteria 1. Gradient is : change in vertical height divided by change in horizontal distance 2. Calculate simple gradients.

THE GRADIENT Difference in y -coordinates The gradient is the measure of steepness of a line Change in vertical height Change in horizontal distance Difference in x -coordinates The steeper a line the bigger the gradient

The Gradient 3 4 3 2 3 5 2 23 -Oct-21 Created by Mr. Lafferty Maths Dept 6

Gradient Upwards positive gradient m= 5 4 5 Calculate the gradient thedownhill uphill section ofofthe section m=- 5 4 4 Downwards negative gradient

Now Try TJ N 5 Lifeskills Revision Exercise Page 149

GRADIENT & PYTHAGORAS THEOREM Learning Intention 1. We are learning to find the gradient by linking it with Pythagoras Theorem. Success Criteria 1. Be able to calculate the gradient. 2. Be able to solving problems involving gradient and Pythagoras Theorem.

Gradient & Pythagoras Theorem Calculate the gradient of the triangle. 15 c b a First we need to find the horizontal distance. a 2 = c 2 - b 2 a 2 = 152 - 122 a 2 = 81 m= = a = √ 81 a=9 = V H 12 9 1. 33 12

Gradient & Pythagoras Theorem To pass Health & Safety regulations a supermarket ramp must not exceed a gradient of 0. 4. 6. 32 m c Does this ramp meet requirements ? b 2 m a First we need to find the horizontal distance. a 2 = c 2 - b 2 m= a 2 = 6. 322 - 22 a 2 = 35. 94 a= √ 35. 94 a≈6 m The ramp meets the requirements as 0. 33 is less than 0. 4 = = V H 2 6 0. 33

Pythagoras Theorem Now Try TJ N 5 Lifeskills Ex 15. 1 Page 150

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